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Finding the Fourth Proportional to 515,216.77, 710,963.53 and 285,752.41

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Solution

The fourth proportional to 515,216.77, 710,963.53 and 285,752.41 is: 394,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,216.77 : 710,963.53 = 285,752.41 : x
  2. Step 2: Convert to fraction form
    515,216.77/710,963.53 = 285,752.41/x
  3. Step 3: Cross multiply
    515,216.77x = 710,963.53 × 285,752.41
  4. Step 4: Simplify right side
    515,216.77x = 203,159,542,119.61
  5. Step 5: Solve for x
    x = 203,159,542,119.61/515,216.77
  6. Step 6: Final answer
    x = 394,318.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.